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1012212000133 is a prime number
BaseRepresentation
bin11101011101011001000…
…10010110010110000101
310120202200210110022100021
432232230202112112011
5113041002233001013
62053000452015141
7133062362016655
oct16565442262605
93522623408307
101012212000133
11360305316394
1214420b9014b1
13745b3329719
1436dc428c365
151b4e3911a8d
hexebac896585

1012212000133 has 2 divisors, whose sum is σ = 1012212000134. Its totient is φ = 1012212000132.

The previous prime is 1012212000109. The next prime is 1012212000139. The reversal of 1012212000133 is 3310002122101.

1012212000133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966243782529 + 45968217604 = 982977^2 + 214402^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012212000133 - 217 = 1012211869061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012212000139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506106000066 + 506106000067.

It is an arithmetic number, because the mean of its divisors is an integer number (506106000067).

Almost surely, 21012212000133 is an apocalyptic number.

It is an amenable number.

1012212000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012212000133 is an equidigital number, since it uses as much as digits as its factorization.

1012212000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1012212000133 its reverse (3310002122101), we get a palindrome (4322214122234).

The spelling of 1012212000133 in words is "one trillion, twelve billion, two hundred twelve million, one hundred thirty-three", and thus it is an aban number.